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Home » v/c = 0,1, (0,1)² = 0,01. - Moon Smoking

v/c = 0,1, (0,1)² = 0,01. - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Question: A glaciologist measures ice layer thickness $ t $ and snow accumulation $ s $, satisfying $ 2t + 5s = 22 $ and $ 3t - s = 4 $. Find $ t + s $.

📌 The equation of the perpendicular line passing through $ (5, 7) $ is:

📌 Set the two expressions for $ y $ equal:

📌 Multiply through by 12 to eliminate denominators:

📌 Question: A regular tetrahedron is embedded in 3D space with three of its vertices at $ A(1, 1, 1) $, $ B(1, -1, -1) $, and $ C(-1, 1, -1) $. The fourth vertex $ D $ has integer coordinates. Find the coordinates of $ D $.

📌 Let the fourth vertex be $ D(x, y, z) $. Since the tetrahedron is regular, all edges must have equal length.

📌 First, compute the squared distance between $ A $ and $ B $:

📌 Only integer solution is $ x = -1 $. Then $ y = x = -1 $, $ z = -x = 1 $

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